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Finding the Third Proportional to 211,301 and 458,428

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Solution

The third proportional to 211,301 and 458,428 is: 994,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,301 : 458,428 = 458,428 : x
  2. Step 2: Convert to fraction form
    211,301/458,428 = 458,428/x
  3. Step 3: Cross multiply
    211,301x = 458,428 × 458,428
  4. Step 4: Simplify right side
    211,301x = 210,156,231,184
  5. Step 5: Solve for x
    x = 210,156,231,184/211,301
  6. Step 6: Final answer
    x = 994,582.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.